Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 29, 33, ?, 113, 369
Option 1: 55
Option 2: 51
Option 3: 54
Option 4: 49
Correct Answer: 49
Solution : Given: 29, 33, ?, 113, 369
The pattern is as follows – 29 + (2)2 = 29 + 4 = 33 33 + (2 × 2)2 = 33 + (4)2 = 33 + 16 = 49 49 + (2 × 4)2
Question : The graphs of the equations 7$x$ + 11$y$ = 3 and 8$x$ + $y$ = 15 intersect at the point P, which also lies on the graph of the equation:
Option 1: 2$x$ + $y$ = 2
Option 2: 2$x$ - $y$ = 1
Option 3: 3$x$ + 5$y$ = 1
Option 4: 3$x$ + 2$y$ = 3
Correct Answer: 3$x$ + 5$y$ = 1
Solution :
Equation of straight lines are following $7x + 11y = 3$..............................(i) And $8x + y = 15$............................(ii) On applying (i) × 1 – (ii) × 11, we get $(7x + 11y) - (8x + y) × 11 = 3 - 15
Question : In $\triangle$ABC, D and E are points on the sides BC and AB, respectively, such that $\angle$ACB = $\angle$ DEB. If AB = 12 cm, BE = 5 cm and BD : CD = 1 : 2, then BC is equal to:
Option 1: $8 \sqrt{3}$ cm
Option 2: $5 \sqrt{5}$ cm
Option 3: $6 \sqrt{5}$ cm
Option 4: $6 \sqrt{3}$ cm
Correct Answer: $6 \sqrt{5}$ cm
Solution : Given that $\angle ACB = \angle DEB$, we can say that $\triangle ABC$ and $\triangle DBE$ are similar by the Angle-Angle (AA) criterion of similarity. The ratio of corresponding sides in similar triangles is equal. $⇒\frac{AB}{DB} = \frac{BC}{BE}$ Given that AB = 12
Question : Suresh and Anil are working on a special project. Suresh takes 5 hours to type 40 pages and Anil needs 6 hours to type 32 pages on a computer. How much time will it take them to type a 110-page assignment if they work on two different computers?
Option 1: 8 hours 15 minutes
Option 2: 8 hours
Option 3: 7 hours 35 minutes
Option 4: 8 hours 40 minutes
Correct Answer: 8 hours 15 minutes
Solution : Pages typed by Suresh in one hour = $\frac{40}5 = 8$ pages Pages typed by Anil in one hour = $\frac{32}6$ = $\frac{16}3$ pages Pages typed by Suresh and Anil in one hour = $8 + \frac{16}{3} = \frac{40}3$ pages Time taken
Question : A shopkeeper marks an article at such a price that after giving a discount of $12 \frac{1}{2} \%$ on the marked price, he still earns a profit of 15%. If the cost price of the article is Rs. 385, then the sum of the marked price and the selling price (in Rs.) of the article is:
Option 1: 948.75
Option 2: 849.5
Option 3: 984.75
Option 4: 954.75
Correct Answer: 948.75
Solution : Let the marked price as MP and the selling price as SP. Given that the shopkeeper earns a profit of 15%, the selling price SP is 115% of the cost price. ⇒ SP = 1.15 × CP = 1.15 × 385 = Rs. 442.75 Also,
Question : Chief Ministers of state are members of __________.
Option 1:
NITI Commission
Option 2:
Finance Commission
Option 3:
National Developmental Council
Option 4: Election Commission
Correct Answer:
Solution : The correct option is National Development Council.
The National Development Council (NDC) is a constitutional body composed of the Prime Minister, Chief Ministers of all states, and other members of the central government. The primary role of the NDC is to formulate
Question : Directions: Select the figure that will come next in the following figure series.
Option 4:
Solution : According to the question figure – In each figure, the number number of dots given in the corners decreased by one. Therefore, the following figure will complete the given pattern –
Hence, the fourth option is correct.
Question : Which of the following regions was the capital of the Chalukyas?
Option 1: Kanchipuram
Option 2: Raichur
Option 3: Aihole
Option 4: Kolar
Correct Answer: Aihole
Solution : The correct option is Aihole.
Aihole was the first capital of the Chalukyas. Aihole is known as the Cradle of Indian Architecture due to the large number of temples and other monuments that were built there during the Chalukya period.
Question : Select the most appropriate synonym for the highlighted word.
This is credible information provided by the informer.
Option 1: commendable
Option 2: dependable
Option 3: detachable
Option 4: digestible
Correct Answer: dependable
Solution : The correct choice is the second option.
Explanation:
Commendable: Worthy of praise or admiration; deserving of approval.
Dependable: Reliable and trustworthy; able to be counted on.
Detachable: Capable of being separated or disconnected from something.
Digestible: Able to be easily digested,
Question : Directions: From the given option figures, select the one in which the question figure is embedded.
Solution : Since there is no restriction on the rotation of the figure, we will check all possible angles where the question figure can fit itself in all the given option figures. The question figure is embedded only in the second option figure.
Hence, the second option is
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